Is the function f (x) x³-11x odd even or neither

Step-by-step explanation:

A function is odd if f (-x) = - f (x)

A function is even if f (-x) = f (x)

And neither if neither are true.

In this case if we plugged in a negative x here

f (-x) = (-x) ^3 - 11 (-x)

f (-x) = - x^3 + 11

Therefore, this function is odd because if we pulled out a negative one again we would get back the original function. Or in other words f (-x) = - f (x) for f (x) = x^3 - 11x